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Finding the Third Proportional to 4,538.95 and 9,725.91

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Solution

The third proportional to 4,538.95 and 9,725.91 is: 20,840.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,538.95 : 9,725.91 = 9,725.91 : x
  2. Step 2: Convert to fraction form
    4,538.95/9,725.91 = 9,725.91/x
  3. Step 3: Cross multiply
    4,538.95x = 9,725.91 × 9,725.91
  4. Step 4: Simplify right side
    4,538.95x = 94,593,252.38
  5. Step 5: Solve for x
    x = 94,593,252.38/4,538.95
  6. Step 6: Final answer
    x = 20,840.32

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.